Pith Number

pith:PGCGERXR

pith:2018:PGCGERXRC4O7VREFLQSRAK2YLF

not attested not anchored not stored refs pending

Accommodating new flights into an existing airline flight schedule

Alper Atamturk, Ozge Safak, Selim M. Akturk

arxiv:1806.02866 v3 · 2018-06-07 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGCGERXRC4O7VREFLQSRAK2YLF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:47:03.168184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79846246f1171dfac4855c25102b58596fc8199fc25fed384225ecfd819a3d65

Aliases

arxiv: 1806.02866 · arxiv_version: 1806.02866v3 · doi: 10.48550/arxiv.1806.02866 · pith_short_12: PGCGERXRC4O7 · pith_short_16: PGCGERXRC4O7VREF · pith_short_8: PGCGERXR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PGCGERXRC4O7VREFLQSRAK2YLF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 79846246f1171dfac4855c25102b58596fc8199fc25fed384225ecfd819a3d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45fc9de78623eb8cdc148c8dfb24cd11f38d2486979962ba0e20997fbb293c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-07T19:05:41Z",
    "title_canon_sha256": "68b527674301ed41cc36f3deda2183ad32599250585e0179064ce66732bfb7e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02866",
    "kind": "arxiv",
    "version": 3
  }
}